Answer:
[tex]x=\ln{y}[/tex]
Step-by-step explanation:
The natural logarithm function is the inverse of the natural exponential function.
[tex]\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}[/tex]
are equivalent.
All Sections
Chocolate Bars (x) 6,
4,
Calories (y) 1,212
808
Every chocolate bar has ????? calories.
10.
2,020
3.
606
8
1,616
3. 606
please mark brainliest
What is the difference quotient of the function, g(a) = StartFraction 8 minus a Over 4 EndFraction?
PLEASE HELP
Given:
The function is:
[tex]g(a)=\dfrac{8-a}{4}[/tex]
To find:
The difference quotient of the function.
Solution:
Formula for difference quotient of the function f(x) is:
[tex]DQ=\dfrac{f(x+h)-f(x)}{h}[/tex]
We have,
[tex]g(a)=\dfrac{8-a}{4}[/tex]
The difference quotient of the function g(a) is:
[tex]DQ=\dfrac{g(a+h)-g(a)}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-(a+h)}{4}-\dfrac{8-a}{4}}{h}[/tex]
[tex]DQ=\dfrac{\dfrac{8-a-h-8+a}{4}}{h}[/tex]
[tex]DQ=\dfrac{-h}{4h}[/tex]
[tex]DQ=-\dfrac{1}{4}[/tex]
Therefore, the difference quotient of the given function is [tex]-\dfrac{1}{4}[/tex].
Answer:
They are right, It is -1/4. The second one.
Step-by-step explanation:
Edge 2021
Find the sum of the arithmetic series given a1=8,a14=99,n=14.
Answer:
The sum of the series is: 749
Step-by-step explanation:
Given
[tex]a_1 = 8[/tex]
[tex]a_{14} = 99[/tex]
[tex]n = 14[/tex]
Required
The sum of the series
This is calculated using:
[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]
Substitute 14 for n
[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]
[tex]S_{14} = 7[a_1 + a_{14}][/tex]
Substitute values for a1 and a14
[tex]S_{14} = 7[8 + 99][/tex]
[tex]S_{14} = 7*107[/tex]
[tex]S_{14} = 749[/tex]
At one school, the ratio of boys to girls in the seventh grade is 12:11. There are 66 girls in the seventh grade. How many boys are there?
Answer:68
Step-by-step explanation:
I guesses but most likely right lol
Use English Alphabet, how many 6-character case-sensitive passwords are possible?
Answer:
Step-by-step explanation:
like for your actual name spell is backwords and add the last 4 letters of the alphabet which W X Y Z
I hope that helped :)
Consider g (x) = StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction Which statement correctly uses limits to determine the end behavior of g(x)? Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4. Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 4. Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0. Limit of StartFraction 4 x + 9 Over x Superscript 6 Baseline + 1 EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 4 x Over 1 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches infinity.
Answer: C
Step-by-step explanation:
To find the end behavior of a function, we find it's limits as x approaches infinity, getting the correct option as:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
Function:
The function given is:
[tex]g(x) = \frac{4x+9}{x^6+1}[/tex]
Limit as x goes to infinity:
To find the limit of a function as x goes to infinity, we consider the term with the highest exponent in the numerator and in the denominator. So
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{4x+9}{x^6+1} = \lim_{x \rightarrow \infty} \frac{4x}{x^6} = \lim_{x \rightarrow \infty} \frac{4}{x^5} = \frac{4}{\infty^5} = 0[/tex]
The graphic of the function, given at the end of this answer, corroborates the answer.
Thus, the correct option is:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
For more on limits as x approaches infinity, you can check brainly.com/question/12207599.
Rewrite the equation of the circle, x2 - 12x + y2 + 8y = -44, in standard form.
Which set of shapes could be used to form a net for a square tvyranni?
01 square and 4 triangles
O 2 squares and 4 triangles
O l square and 4 rectangles
O 2 squares and 4 rectangles
please help !! asap !!
Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the figure
Help please it’s a test!
Answer:
E. 425
Step-by-step explanation:
Assuming that since there are 17 deer in one square, there must be 17 in each square, and knowing there are 25 squares, the answer is equal to 17*25 = 425
The principal was very _____ about the closed lunch policy and would not change his mind
If the mean is 4, what is the missing number of the data set: 3, 4, ___, 7, 2, 1.
Answer:
7
Step-by-step explanation:
Let the missing number of the data be x.
[tex] \because mean = \frac{3 + 4 + x + 7 + 2 + 1}{6} \\ \\ \therefore 4 = \frac{17 + x }{6} \\ \\ \therefore 4 \times 6 = 17 + x \\ \\ \therefore 24 - 17 = x \\ \\\therefore x = 7[/tex]
Thus, the missing number of the data is 7.
Please help me this is algebra
Answer:
[tex]first \: answer \: is \: correct \: \\ [/tex]
Which of the following are solutions to -2.7 + x = -3.5?
You can have more than one answer!!!
Group of answer choices
-3.5 + 2.7
3.5 - 2.7
-3.5 -(-2.7)
-3.5 - 2.7
Answer:
-3.5+27
Step-by-step explanation:
-2.7+x=-3.5
x=-3.5-(-2.5)
x=-3.5+2.5
x=2.0
HELP HELP PLEASE I BARELY HAVVE ANYTIME LEFT PLEASE HEL;P ME OUT
1/4
Step-by-step explanation:
I used points (4,2) and (8,3).
The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is 1 centimeter:5 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answer:
[tex]625ft^{2}[/tex]
Step-by-step explanation:
First get the l by finding the square root of the area
[tex]\sqrt{25}[/tex] = 5cm
since 1cm = 5ft
what about 5cm =?
(5cm×5ft)/1cm
l=25ft
area of the actual floor is l × l
[tex]25^{2}[/tex]
which is [tex]625ft^{2}[/tex]
The area of the figure is *blank* square units.
What ordered pairs are the solutions of the system of equations shown in the graph below
Please no files. I can give brainlest....
C. 4140
Thanks & im sorry ^^
Answer:
3960 degree is the answer
Step-by-step explanation:
180(n-2)
180(24-2)
180*22
3690
here,n =number of sides
The diameter of a circle is 15 ft. Find its circumference in terms of \piπ.
Answer:
47.1 ft
Step-by-step explanation:
dx[tex]\pi[/tex]=C
15x3.14=
47.1
Answer:
18
Step-by-step explanation:
Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.
the length is 3 inches less than twice the width and the permiter is 42 inches. Find dimensions
Answer:
Here
Step-by-step explanation:
length = x
width = 2x - 3
Perimeter = 2length + 2 width
2x + 2(2x - 3) = 42
2x + 4x - 6 =42
6x - 6 = 42
Add 6 to both sides
6x = 48
Divide both sides by 6
x = 8
Length = 8 inches
Width = 2(8) - 3 = 16-3 = 13 inches
how many radians is 288
Someone help! I will really appreciate it if someone helped me.
Answer:
A
E
F
Step-by-step explanation: there the even ones
2 friends want to equally share of a bag of chocolate cookies. What
fraction of the bag will will each friend get to eat?
Answer:
is this a joke question? it is very easy. one half or 1/2
Step-by-step explanation:
A baseball pitcher won 65% of the games he pitched in his career out of 400 games. How many
games did he won?
Answer:
260 games (brainliest?)
Step-by-step explanation:
50% of 400 = 200 games
therefore, 65% of 400 = 260
A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
Answer:
-14
Step-by-step explanation:
(-12)+(-2)
You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)
The answer is the two values added together.
HELP PLEASE
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What is the value of 9 + 12 – 6 x 4 ÷ 2.
Answer:
9
Step-by-step explanation:
Answer:
.................30..................
The equation y = 5x - 4 can be classified as what type of function?
O linear
O quadratic
O exponential
None of the others